What is the 4837th prime number?
The 4837th prime number is 46817. The next prime is 46819 (a gap of 2) and the one before is 46811.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4837th one is 46817.
- 2
46817 is prime because no prime up to ā46817 ā 216.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4837th prime is close to 4837 Ć ln(4837) ā 41037, and here it is 46817.
- 4
46817 is a twin prime: 46817 and 46819 are both prime.
Primes around the 4837th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4834 | 46771 | 2 |
| 4835 | 46807 | 36 |
| 4836 | 46811 | 4 |
| 4837 | 46817 | 6 |
| 4838 | 46819 | 2 |
| 4839 | 46829 | 10 |
| 4840 | 46831 | 2 |
Questions
What is the 4837th prime number?
46817.
Which prime number is 46817?
46817 is the 4837th prime number.
What is the sum of the first 4837 primes?
106,675,192.